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Question

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Explanation:

Find the slope of the line using the given points \((-3, 1)\) and \((0, 0)\)

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{0 - (-3)} = -\frac{1}{3} $$

Determine the y-intercept from the graph

$$ b = 0 $$

Write the equation in slope-intercept form \(y = mx + b\)

$$ y = -\frac{1}{3}x $$

Answer:

  • A. \(y = -x\)
  • B. \(y = -3x\)
  • C. \(y = x\)
  • D. \(y = \frac{1}{3}x\)
  • E. \(y = -\frac{1}{3}x\) (Correct answer)
  • F. \(y = 3x\)